Greatest Common Factor of 68/820, 94/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/820, 94/538

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 68/820,94/538

Given fractions are 68/820,94/538

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 68,94

Greatest Common Factor of Numerators i.e. GCF of 68,94 is 2 .

LCM of Denominators means LCM of 820,538 as per the given fractions.

LCM of 820,538 is 220580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,94

GCF of Fractions 68/820,94/538 is 2/220580

2 68, 94
34, 47

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 68,94 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,94 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Greatest Common Factor

We found the factors 68,94 . The biggest common factor number is the GCF number.
So the greatest common factor 68,94 is 2.

Lets's calculate LCM of 820,538

2 820, 538
410, 269

∴ So the LCM of the given numbers is 2 x 410 x 269 = 220580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/220580

Therefore, the GCF of Fractions 68/820,94/538 is 2/220580

Least Common Multiple of 820,538 with GCF Formula

Least Common Multiple of 820,538 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 820,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,538) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(820,538) x common factors =2 x 1 = 2

LCM(820,538) = ( 820 × 538 ) / 2

LCM(820,538) = 441160 / 2

LCM(820,538) = 220580


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 68/820, 94/538

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 68/820, 94/538?

Answer: GCF of Numerators as per given numbers 68/820, 94/538 is

GCF of Numerators i.e. for 68,94 is 2

LCM of denominators i.e. for 820,538 is 220580.

Thus, GCF of Fractions is 2/220580.Finally, GCF of Fractions for 68/820, 94/538 is 2/220580.